7,209,048

2³ × 3 × 7 × 11 × 47 × 83

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 47 × 83

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 23,224,320

Proper Divisor Sum 16,015,272

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7209031 ← → #7209091

Radix Representation

Decimal	7209048
Binary	11011100000000001011000 (23 bits)
Octal	0o33400130
Hexadecimal	0x6E0058

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 47 56 66 77 83 84 88 94 132 141 154 166 168 188 231 249 264 282 308 329 332 376 462 498 517 564 581 616 658 664 913 924 987 996 1,034 1,128 1,162 1,316 1,551 1,743 1,826 1,848 1,974

Collatz Trajectory (160 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,209,048 3,604,524 1,802,262 901,131 2,703,394 1,351,697 4,055,092 2,027,546 1,013,773 3,041,320 1,520,660 760,330 380,165 1,140,496 570,248 285,124 142,562 71,281 213,844 106,922 53,461 160,384 80,192 40,096 20,048 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

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